https://r2.erweima.ai/mathbot/image/1726690119882ju0mie91.jpg

The problem asks to find the value of \( \frac{3}{5} - \frac{1}{4} \).

### Step-by-Step Solution:
To subtract two fractions, you need a common denominator. The denominators in this case are 5 and 4.

1. **Find the least common denominator (LCD):**
   The least common denominator of 5 and 4 is 20.

2. **Convert each fraction to have a denominator of 20:**
   - For \( \frac{3}{5} \), multiply both the numerator and the denominator by 4: 
     \[
     \frac{3}{5} = \frac{3 \times 4}{5 \times 4} = \frac{12}{20}
     \]
   - For \( \frac{1}{4} \), multiply both the numerator and the denominator by 5:
     \[
     \frac{1}{4} = \frac{1 \times 5}{4 \times 5} = \frac{5}{20}
     \]

3. **Subtract the fractions:**
   \[
   \frac{12}{20} - \frac{5}{20} = \frac{12 - 5}{20} = \frac{7}{20}
   \]

Thus, the correct answer is \( \frac{7}{20} \), which matches the second option in the image.

### Final Answer: \( \frac{7}{20} \)

Do you need further details or have any questions?

Here are 5 related questions:
1. How do you add two fractions with different denominators?
2. What is the least common denominator for 6 and 8?
3. How do you convert a fraction to its simplest form?
4. Can you subtract mixed fractions using the same method?
5. How do you handle subtraction of improper fractions?

**Tip:** Always find the least common denominator when working with fractions to make the arithmetic easier!

Learn how to subtract fractions by finding the least common denominator (LCD). This problem solves 3/5 - 1/4 using a step-by-step method, including converting to common denominators and performing subtraction. Suitable for Grades 5-6.

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